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@ARTICLE{Prodanov:173417,
      author       = {Prodanov, Mykola and Dapp, Wolfgang and Müser, Martin},
      title        = {{O}n the {C}ontact {A}rea and {M}ean {G}ap of {R}ough,
                      {E}lastic {C}ontacts: {D}imensional {A}nalysis, {N}umerical
                      {C}orrections, and {R}eference {D}ata},
      journal      = {Tribology letters},
      volume       = {53},
      number       = {2},
      issn         = {1573-2711},
      address      = {Basel},
      publisher    = {Baltzer},
      reportid     = {FZJ-2014-06827},
      pages        = {433 - 448},
      year         = {2014},
      abstract     = {The description of elastic, nonadhesive contacts between
                      solids with self-affine surface roughness seems to
                      necessitate knowledge of a large number of parameters.
                      However, few parameters suffice to determine many important
                      interfacial properties as we show by combining dimensional
                      analysis with numerical simulations. This insight is used to
                      deduce the pressure dependence of the relative contact area
                      and the mean interfacial separation Δu¯ and to present the
                      results in a compact form. Given a proper unit choice for
                      pressure p, i.e., effective modulus E * times the root mean
                      square gradient g¯ , the relative contact area mainly
                      depends on p but barely on the Hurst exponent H even at
                      large p. When using the root mean square height h¯ as unit
                      of length, Δu¯ additionally depends on the ratio of the
                      height spectrum cutoffs at short and long wavelengths. In
                      the fractal limit, where that ratio is zero, solely the
                      roughness at short wavelengths is relevant for Δu¯ . This
                      limit, however, should not be relevant for practical
                      applications. Our work contains a brief summary of the
                      employed numerical method Green’s function molecular
                      dynamics including an illustration of how to systematically
                      overcome numerical shortcomings through appropriate
                      finite-size, fractal, and discretization corrections.
                      Additionally, we outline the derivation of Persson theory in
                      dimensionless units. Persson theory compares well to the
                      numerical reference data.},
      cin          = {JSC},
      ddc          = {670},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {411 - Computational Science and Mathematical Methods
                      (POF2-411)},
      pid          = {G:(DE-HGF)POF2-411},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000330624600006},
      doi          = {10.1007/s11249-013-0282-z},
      url          = {https://juser.fz-juelich.de/record/173417},
}